Skewness

Chi distribution skewness.

The skewness for a chi random variable with degrees of freedom.k is

where μ is the mean of the distribution and σ its standard deviation.

Installation

npm install @stdlib/stats-base-dists-chi-skewness

Usage

var skewness = require( '@stdlib/stats-base-dists-chi-skewness' );

skewness( k )

Returns the skewness of a chi distribution with degrees of freedom k.

var v = skewness( 9.0 );
// returns ~0.252

v = skewness( 0.5 );
// returns ~1.544

If provided k <= 0, the function returns NaN.

var v = skewness( -1.0 );
// returns NaN

Examples

var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var skewness = require( '@stdlib/stats-base-dists-chi-skewness' );

var k;
var v;
var i;

for ( i = 0; i < 10; i++ ) {
    k = randu() * 20.0;
    v = skewness( k );
    console.log( 'k: %d, skew(X,k): %d', k.toFixed( 4 ), v.toFixed( 4 ) );
}

Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

Community

License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.